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Finding the Third Proportional to 163,650.38 and 353,112.75

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Solution

The third proportional to 163,650.38 and 353,112.75 is: 761,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,650.38 : 353,112.75 = 353,112.75 : x
  2. Step 2: Convert to fraction form
    163,650.38/353,112.75 = 353,112.75/x
  3. Step 3: Cross multiply
    163,650.38x = 353,112.75 × 353,112.75
  4. Step 4: Simplify right side
    163,650.38x = 124,688,614,212.56
  5. Step 5: Solve for x
    x = 124,688,614,212.56/163,650.38
  6. Step 6: Final answer
    x = 761,920.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.